Bayesian reference prior analysis on the ratio of variances for the balanced one-way random effect model

DOI10.1016/0378-3758(94)90023-XzbMath0816.62029OpenAlexW2093608506MaRDI QIDQ1338371

Keying Ye

Publication date: 29 November 1994

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(94)90023-x

zbMATH Keywords

variance componentsrisk functionsensitivity studyintra-class correlationJeffrey's priorasymptotic frequentist coverage propertygrouped ordering reference prior approachone-way random effect model

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Bayesian inference (62F15) Analysis of variance and covariance (ANOVA) (62J10)

Related Items

Bayesian estimators of the intraclass correlation coefficient in the one-way random effects model ⋮ Selection of the reference priors for a balanced random effects model ⋮ Invariance of the reference prior under reparametrization ⋮ Objective Bayesian analysis for CAR models ⋮ An objective prior for hyperparameters in normal hierarchical models ⋮ Reference priors for linear models with general covariance structures ⋮ Objective priors: an introduction for frequentists ⋮ Discussion on ``Objective priors: an introduction for frequentists by M. Ghosh ⋮ Pivotal estimation with applications for the intraclass correlation coefficient in the balanced one-way random effects model ⋮ Bayes factor testing of multiple intraclass correlations ⋮ Model determination for the variance component model using reference priors ⋮ Inference From Intrinsic Bayes’ Procedures Under Model Selection and Uncertainty ⋮ Bayesian analysis of ANOVA and mixed models on the log-transformed response variable ⋮ Bayesian approach to estimation of intraclass correlation using reference prior ⋮ Reference priors for shrinkage and smoothing parameters ⋮ Bayesian estimation of the intraclass correlation coefficients in multivariate mixed linear model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the invariance of noninformative priors
• On Prior Distributions for Binary Trials
• Why Isn't Everyone a Bayesian?
• Noninformative priors for one parameter of many
• Noninformative priors for inferences in exponential regression models
• Ordered group reference priors with application to the multinomial problem
• Reference Priors When the Stopping Rule Depends on the Parameter of Interest
• Estimating a Product of Means: Bayesian Analysis with Reference Priors
• Inference about Variance Components in the One-Way Model
• Bayesian analysis of random-effect models in the analysis of variance. I. Posterior distribution of variance-components
• Formal Bayes Estimation with Application to a Random Effects Model